Abstract:
In this paper we prove the uniform boundedness of the torsion of elliptic curves over algebraic number fields of fixed degree under the condition that their invariants belong to fields over which the rank of the curve V2=U4−1 is bounded.
Citation:
V. A. Dem'yanenko, “On the uniform boundedness of the torsion of elliptic curves over algebraic number fields”, Math. USSR-Izv., 6:3 (1972), 477–490
\Bibitem{Dem72}
\by V.~A.~Dem'yanenko
\paper On the uniform boundedness of the torsion of elliptic curves over algebraic number fields
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 3
\pages 477--490
\mathnet{http://mi.mathnet.ru/eng/im2307}
\crossref{https://doi.org/10.1070/IM1972v006n03ABEH001884}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=302654}
\zmath{https://zbmath.org/?q=an:0241.14016}
Linking options:
https://www.mathnet.ru/eng/im2307
https://doi.org/10.1070/IM1972v006n03ABEH001884
https://www.mathnet.ru/eng/im/v36/i3/p484
This publication is cited in the following 5 articles:
Dan Kubert, Serge Lang, Collected Papers Volume II, 2000, 260
Jasbir Singh Chahal, “A remark on the torsion subgroups of elliptic curves”, Journal of Pure and Applied Algebra, 115:3 (1997), 321
Michael Pfeifer, “A boundedness theorem for the torsion of a class of elliptic curves over algebraic number fields”, Arch. Math, 62:6 (1994), 519
Dan Kubert, Serge Lang, Lecture Notes in Mathematics, 601, Modular Functions of one Variable V, 1977, 247
V. A. Dem'yanenko, “On Tate height and the representation of numbers by binary forms”, Math. USSR-Izv., 8:3 (1974), 463–476
Citation in format AMSBIB
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